If the roots of \(\rm \frac{1}{{x\, + \,p}}\, + \,\frac{1}{{x\, + \,q}}\, = \,\frac{1}{r}\) are equal in magnitude and opposite in sign, then product of roots is
1
\(\rm - \frac{1}{2}\left( {{p^2} + {q^2}} \right)\)
2
\(\rm \frac{{{p^2}\, + \,{q^2}}}{2}\)
3
\(\rm \frac{{p\, + \,q}}{2}\)
4
\(\rm \frac{1}{2}{\left( {p\, + \,q} \right)^2}\)